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Finding the Third Proportional to 146,056,755 and 227,460,310

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Solution

The third proportional to 146,056,755 and 227,460,310 is: 354,233,480.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,056,755 : 227,460,310 = 227,460,310 : x
  2. Step 2: Convert to fraction form
    146,056,755/227,460,310 = 227,460,310/x
  3. Step 3: Cross multiply
    146,056,755x = 227,460,310 × 227,460,310
  4. Step 4: Simplify right side
    146,056,755x = 51,738,192,625,296,096
  5. Step 5: Solve for x
    x = 51,738,192,625,296,096/146,056,755
  6. Step 6: Final answer
    x = 354,233,480.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.